Convolutions of harmonic functions with certain dilatations
type: Item
instance of: scholarly article
title: Convolutions of harmonic functions with certain dilatations
zbMATH Open document ID: 1476.30037
DOI: 10.1155/2017/4015268
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2018-05-25T00:00:00Z
review text: Summary: The convolution of harmonic functions, unlike the analytic case, proved to be very challenging. In this paper, we introduce dilatation conditions that guarantee the convolution of two harmonic functions to be locally one-to-one, sense-preserving, and close-to-convex harmonic in the unit disk.
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 6873340
author: Om P. Ahuja
author: Jay M. Jahangiri
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/4015268
OpenAlex ID: W2768140409
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description: scientific article; zbMATH DE number 6873340